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# Mean, median, mode and range

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### Mean, median, mode and range

1. 1. Mean, Median, Mode & Range By Monica Yuskaitis
2. 2. Vocabulary Review• Sum – the answer to an addition problem.• Addend – the numbers you added together to get the sum. 6 + 9 = 15 Copyright © 2000 by Monica Yuskaitis
4. 4. Definition• Mean – the average of a group of numbers. 2, 5, 2, 1, 5 Mean = 3 Copyright © 2000 by Monica Yuskaitis
5. 5. Mean is found by evening out the numbers 2, 5, 2, 1, 5 Copyright © 2000 by Monica Yuskaitis
6. 6. Mean is found by evening out the numbers 2, 5, 2, 1, 5 Copyright © 2000 by Monica Yuskaitis
7. 7. Mean is found by evening out the numbers 2, 5, 2, 1, 5 mean = 3 Copyright © 2000 by Monica Yuskaitis
8. 8. How to Find the Mean of a Group of Numbers• Step 1 – Add all the numbers. 8, 10, 12, 18, 22, 268+10+12+18+22+26 = 96 Copyright © 2000 by Monica Yuskaitis
9. 9. How to Find the Mean of a Group of Numbers• Step 2 – Divide the sum by the number of addends. 8, 10, 12, 18, 22, 268+10+12+18+22+26 = 96 How many addends are there? Copyright © 2000 by Monica Yuskaitis
10. 10. How to Find the Mean of a Group of Numbers• Step 2 – Divide the sum by the number of addends. 16# of addends 6) 96 sum 6 36 36 Copyright © 2000 by Monica Yuskaitis
11. 11. How to Find the Mean of a Group of NumbersThe mean or average of these numbers is 16. 8, 10, 12, 18, 22, 26 Copyright © 2000 by Monica Yuskaitis
12. 12. What is the mean of these numbers? 7, 10, 16 11 Copyright © 2000 by Monica Yuskaitis
13. 13. What is the mean of these numbers? 2, 9, 14, 27 13 Copyright © 2000 by Monica Yuskaitis
14. 14. What is the mean of these numbers? 1, 2, 7, 11, 19 8 Copyright © 2000 by Monica Yuskaitis
15. 15. What is the mean of these numbers? 26, 33, 41, 52 38 Copyright © 2000 by Monica Yuskaitis
16. 16. Definition Medianis in the MiddleCopyright © 2000 by Monica Yuskaitis
17. 17. Definition• Median – the middle number in a set of ordered numbers. 1, 3, 7, 10, 13 Median = 7 Copyright © 2000 by Monica Yuskaitis
18. 18. How to Find the Median in a Group of Numbers• Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 Copyright © 2000 by Monica Yuskaitis
19. 19. How to Find the Median in a Group of Numbers• Step 2 – Find the middle number. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 Copyright © 2000 by Monica Yuskaitis
20. 20. How to Find the Median in a Group of Numbers• Step 2 – Find the middle number. 18, 19, 21, 24, 27 This is your median number. Copyright © 2000 by Monica Yuskaitis
21. 21. How to Find the Median in a Group of Numbers• Step 3 – If there are two middle numbers, find the mean of these two numbers. 18, 19, 21, 25, 27, 28 Copyright © 2000 by Monica Yuskaitis
22. 22. How to Find the Median in a Group of Numbers• Step 3 – If there are two middle numbers, find the mean of these two numbers. 21+ 25 = 46 23 median 2) 46 Copyright © 2000 by Monica Yuskaitis
23. 23. What is the median of these numbers? 16, 10, 7 7, 10, 16 10 Copyright © 2000 by Monica Yuskaitis
24. 24. What is the median of these numbers? 29, 8, 4, 11, 19 4, 8, 11, 19, 29 11 Copyright © 2000 by Monica Yuskaitis
25. 25. What is the median of these numbers? 31, 7, 2, 12, 14, 19 2, 7, 12, 14, 19, 31 1312 + 14 = 26 2) 26 Copyright © 2000 by Monica Yuskaitis
26. 26. What is the median of these numbers? 53, 5, 81, 67, 25, 78 5, 25, 53, 67, 78, 81 6053 + 67 = 120 2) 120 Copyright © 2000 by Monica Yuskaitis
27. 27. Definition Modeis the most Popular Copyright © 2000 by Monica Yuskaitis
28. 28. Definition• A la mode – the most popular or that which is in fashion.Baseball caps are a la mode today. Copyright © 2000 by Monica Yuskaitis
29. 29. Definition• Mode – the number that appears most frequently in a set of numbers. 1, 1, 3, 7, 10, 13 Mode = 1 Copyright © 2000 by Monica Yuskaitis
30. 30. How to Find the Mode in a Group of Numbers• Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 18 18, 18, 19, 21, 24 Copyright © 2000 by Monica Yuskaitis
31. 31. How to Find the Mode in a Group of Numbers• Step 2 – Find the number that is repeated the most. 21, 18, 24, 19, 18 18, 18, 19, 21, 24 Copyright © 2000 by Monica Yuskaitis
32. 32. Which number is the mode? 29, 8, 4, 8, 19 4, 8, 8, 19, 29 8 Copyright © 2000 by Monica Yuskaitis
33. 33. Which number is the mode?1, 2, 2, 9, 9, 4, 9, 101, 2, 2, 4, 9, 9, 9, 10 9 Copyright © 2000 by Monica Yuskaitis
34. 34. Which number is the mode?22, 21, 27, 31, 21, 3221, 21, 22, 27, 31, 32 21 Copyright © 2000 by Monica Yuskaitis
35. 35. Definition Rangeis the distance Between Copyright © 2000 by Monica Yuskaitis
36. 36. Definition• Range – the difference between the greatest and the least value in a set of numbers. 1, 1, 3, 7, 10, 13 Range = 12 Copyright © 2000 by Monica Yuskaitis
37. 37. How to Find the Range in a Group of Numbers• Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 Copyright © 2000 by Monica Yuskaitis
38. 38. How to Find the Range in a Group of Numbers• Step 2 – Find the lowest and highest numbers. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 Copyright © 2000 by Monica Yuskaitis
39. 39. How to Find the Range in a Group of Numbers• Step 3 – Find the difference between these 2 numbers. 18, 19, 21, 24, 27 27 – 18 = 9 The range is 9 Copyright © 2000 by Monica Yuskaitis
40. 40. What is the range?29, 8, 4, 8, 194, 8, 8, 19, 29 29 – 4 = 25 Copyright © 2000 by Monica Yuskaitis
41. 41. What is the range?22, 21, 27, 31, 21, 3221, 21, 22, 27, 31, 32 32 – 21 = 11 Copyright © 2000 by Monica Yuskaitis
42. 42. What is the range?31, 8, 3, 11, 193, 8, 11, 19, 31 31 – 3 = 28 Copyright © 2000 by Monica Yuskaitis
43. 43. What is the range?23, 7, 9, 41, 197, 9, 23, 19, 41 41 – 7 = 34 Copyright © 2000 by Monica Yuskaitis
44. 44. Credits•Clipart from ClickArt 125,000, T/Maker Company of Broderbund Software, Inc. Copyright © 2000 by Monica Yuskaitis
45. 45. Credits• Clipart from ClickArt 125,000, T/Maker Company of Broderbund Software, Inc. Copyright © 2000 by Monica Yuskaitis